Rosenberg, Adams and Gurevitch (2000). Metawin 2.0. Statistical software
for Meta-Analysis. Sinauer Associates, Inc. provide this formula to
transform t to r.

r=sqrt(t2/(t2+df))

Hope this helps

Miguel Verdu


"Jason Osborne, Ph.D." wrote:

> I am working on a power analysis project- we are reviewing old journal
> articles to calculate observed effect sizes and power.  Some of these
> articles, for example reporting t-test results, only give means and
> t-test, no standard deviation.  thus, no effect size calculation is
> possible.  I was hoping to estimate an effect size by converting a t to
> an r.  I seem to remember a formula that relates the two, but am having
> a dickens of a time tracking one down.  The one I did track down, for
> calculating t from r, is not that helpful:
>
> t= r * sqrt(n-2)
>    -------------
>    sqrt(1-r^2)
>
> I want to be able to calculate r from t.  I tried algebraically
> manipulating the formula, but never quite got it to where I could do
> this.  Any advice?
>
> Alternatively, a formula for converting t or F to eta-squared, which is
> roughly analogous to r-squared, would also be helpful (I know they are
> not exactly analogous).
>
> Thanks in advance,
> Jason



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